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10103122314 = 23210144912377
BaseRepresentation
bin10010110100011000…
…10110100110001010
3222002002210210100100
421122030112212022
5131142344403224
64350304550230
7505236060045
oct113214264612
928062723310
1010103122314
114314a4936a
121b5b622376
13c501851ac
146bbb27c5c
153e1e7cac9
hex25a31698a

10103122314 has 48 divisors (see below), whose sum is σ = 22157857800. Its totient is φ = 3326668800.

The previous prime is 10103122313. The next prime is 10103122349. The reversal of 10103122314 is 41322130101.

It can be written as a sum of positive squares in 4 ways, for example, as 9415791225 + 687331089 = 97035^2 + 26217^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10103122313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810094 + ... + 822470.

Almost surely, 210103122314 is an apocalyptic number.

10103122314 is an abundant number, since it is smaller than the sum of its proper divisors (12054735486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10103122314 is a wasteful number, since it uses less digits than its factorization.

10103122314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10103122314 its reverse (41322130101), we get a palindrome (51425252415).

The spelling of 10103122314 in words is "ten billion, one hundred three million, one hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 101 202 303 449 606 898 909 1347 1818 2694 4041 8082 12377 24754 37131 45349 74262 90698 111393 136047 222786 272094 408141 816282 1250077 2500154 3750231 5557273 7500462 11114546 11250693 16671819 22501386 33343638 50015457 100030914 561284573 1122569146 1683853719 3367707438 5051561157 10103122314